The sports car has been designed so that the 260-kg engine E 165-kg transmission T have been placed over the front and rear wheels, respectively. Their mass centers are located at G_E and G_T. The mass center of the remaining 512-kg body and frame is located at G_b. If power is suppied to the rear wheels only, determine shortest time it takes for the car to reach a speed of 80 km/h, starting from rest. The front wheels are free-rolling, and the coefficient of static friction between the powered wheels and the road is μ_s = 0.4. Neglect the mass of the wheels and driver.

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0.55 m T A -1.25 m- GP 0.40 m -1.46 m GE B 0.60 m